# Normal bases for the space of continuous functions defined on a subset of Zp.

Publicacions Matemàtiques (1994)

- Volume: 38, Issue: 2, page 371-380
- ISSN: 0214-1493

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topVerdoodt, Ann. "Normal bases for the space of continuous functions defined on a subset of Zp.." Publicacions Matemàtiques 38.2 (1994): 371-380. <http://eudml.org/doc/41183>.

@article{Verdoodt1994,

abstract = {Let K be a non-archimedean valued field which contains Qp and suppose that K is complete for the valuation |·|, which extends the p-adic valuation. Vq is the closure of the set \{aqn|n = 0,1,2,...\} where a and q are two units of Zp, q not a root of unity. C(Vq → K) is the Banach space of continuous functions from Vq to K, equipped with the supremum norm. Our aim is to find normal bases (rn(x)) for C(Vq → K), where rn(x) does not have to be a polynomial.},

author = {Verdoodt, Ann},

journal = {Publicacions Matemàtiques},

keywords = {Espacio de funciones continuas; Espacios de Banach; Espacio normado no arquimediano; Banach space of continuous functions equipped with the uniform convergence; supremum norm; orthonormal basis},

language = {eng},

number = {2},

pages = {371-380},

title = {Normal bases for the space of continuous functions defined on a subset of Zp.},

url = {http://eudml.org/doc/41183},

volume = {38},

year = {1994},

}

TY - JOUR

AU - Verdoodt, Ann

TI - Normal bases for the space of continuous functions defined on a subset of Zp.

JO - Publicacions Matemàtiques

PY - 1994

VL - 38

IS - 2

SP - 371

EP - 380

AB - Let K be a non-archimedean valued field which contains Qp and suppose that K is complete for the valuation |·|, which extends the p-adic valuation. Vq is the closure of the set {aqn|n = 0,1,2,...} where a and q are two units of Zp, q not a root of unity. C(Vq → K) is the Banach space of continuous functions from Vq to K, equipped with the supremum norm. Our aim is to find normal bases (rn(x)) for C(Vq → K), where rn(x) does not have to be a polynomial.

LA - eng

KW - Espacio de funciones continuas; Espacios de Banach; Espacio normado no arquimediano; Banach space of continuous functions equipped with the uniform convergence; supremum norm; orthonormal basis

UR - http://eudml.org/doc/41183

ER -